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EXPECTED DIMENSIONS OF HIGHER-RANK BRILL-NOETHER LOCI.
- Source :
-
Proceedings of the American Mathematical Society . Sep2017, Vol. 145, p3735-3746. 12p. - Publication Year :
- 2017
-
Abstract
- In this paper, we prove a new expected dimension formula for certain rank two Brill-Noether loci with fixed special determinant. This answers a question asked by Osserman and also leads to a new and much simpler proof of a theorem in his 2015 work. Our result generalizes the well-known result by Bertram, Feinberg and independently Mukai on expected dimension of rank two Brill-Noether loci with canonical determinant and partially verifies a conjecture (in rank two) of Grzegorczyk and Newstead on coherent systems. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 145
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 123784404
- Full Text :
- https://doi.org/10.1090/proc/13542